{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"https://raw.githubusercontent.com/Qiskit/qiskit-tutorials/master/images/qiskit-heading.png\" alt=\"Note: In order for images to show up in this jupyter notebook you need to select File => Trusted Notebook\" width=\"500 px\" align=\"left\">"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Wigner Functions\n",
    "---\n",
    "### Contributers\n",
    "Russell P. Rundle$^{1,2}$, Todd Tilma$^{1,3}$, Vincent M. Dwyer$^{1,2}$, Mark J. Everitt (m.j.everitt@physics.org)$^{1}$\n",
    "\n",
    "1 Quantum Systems Engineering Research Group, Physics Dpartment, Loughborough University, UK\n",
    "\n",
    "2 Wolfson School, Loughborough University, UK\n",
    "\n",
    "3 Tokyo Institute of Technology, Japan\n",
    "\n",
    "## Introduction\n",
    "\n",
    "In this notebook we demonstrate how to create Wigner functions by either using the full state or by measuring points in phase space. We will show the different methods which can be used by inputting an arbitrary state or just measuring the state on both the simulators and the IBM Quantum Experience.\n",
    "The spin Wigner function presented here is based on work from [*T Tilma, MJ Everitt, JH Samson, WJ Munro, K Nemoto, Phys. Rev. Lett. 117, 180401*](https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.117.180401) and can be calculated analytically as\n",
    "\n",
    "$W(\\boldsymbol{\\Omega}) = \\mathrm{Tr}\\left[\\hat{\\rho} \\; \\hat{U}(\\boldsymbol{\\Omega}) \\hat{\\Pi} \\hat{U}^\\dagger(\\boldsymbol{\\Omega})\\right]$\n",
    "\n",
    "Where $\\hat{U}$ is the rotation by the Euler angles and $\\hat{\\Pi}$ is the parity, such that\n",
    "\n",
    "$\\hat{\\Pi} = \\frac{1}{2} \n",
    "\\begin{pmatrix}\n",
    "1+\\sqrt{3} & 0\\\\\n",
    "0 & 1-\\sqrt{3}\n",
    "\\end{pmatrix}$ \n",
    "\n",
    "for one qubit. The Hilbert space for a single qubit is spanned by the Euler angles where $\\theta$ (the elevation) and $\\phi$ (the azimuth) thus the full Wigner function for $n$ qubits is given by $2n$ degrees of freedom. \n",
    "<img src=\"../images/blochSphere.png\", width = 300, height = 300>\n",
    "When there is more than one qubit, we take the Kronecker tensor product of the $\\hat{U}$s and $\\hat{\\Pi}$. In the following examples, various methods of extracting information from 2 entangled qubits from four degrees of freedom are shown.\n",
    "These methods include taking an the equal angle slice, where we set the angles $\\theta_0 = \\theta_1 = \\theta$ and $\\phi_0 = \\phi_1 = \\phi$. We can also set some angles to be constant values as we plot the remaining angles against each other, an example of this can be seen when plotting the plaquettes where we set $\\phi_0=\\phi_1=0$ and we plot $\\theta_0$ against $\\theta_1$. Finally we show how we can simplify the Wigner function by just taking a 2 dimensional curve around the function, this is shown when we look at the equal angle equatorial slice where we take $\\theta_i=\\theta=\\pi/2$ for all $\\theta$s and $\\phi_i=\\phi$ for all values of $\\phi$ where $0\\leq\\phi<2\\pi$.\n",
    "With this visualisation methods we show how these points in phase space can be measured directly by using the Wigner function tomography module and it works by using the u3 gates to rotate to points in phase space. Below is an example for measing points for a Bell-state, the first two gates create the Bell-state and the two u3 are example rotations to a point in phase space.\n",
    "<img src=\"../images/exampleCircuit.png\", width = 400>\n",
    "\n",
    "# Wigner Functions for Arbitrary States\n",
    "\n",
    "First we will look at the Wigner function tomography module and show how we can create the spin Wigner function on a Bloch sphere for an arbitrary state. All that is necessary is to input a density matrix or state vector for a known state and then set the desired resolution for the plot (if no resolution is set, the mesh of the sphere will default to 100x100)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# importing the QISKit\n",
    "from qiskit import QuantumCircuit, QuantumRegister, ClassicalRegister, execute, Aer, IBMQ\n",
    "\n",
    "# import numpy\n",
    "import numpy as np\n",
    "\n",
    "# import tomography library\n",
    "import qiskit.tools.qcvv.tomography as tomo\n",
    "\n",
    "#visualization packages\n",
    "from wigner import plot_wigner_function, plot_wigner_data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Wigner Function for an entangled Bell-state\n",
    "We begin by creating the density matrix for a Bell-state (note that the matrices and state vectors need to be created in numpy matrix format), $\\left(|00\\rangle+|11\\rangle\\right)/\\sqrt{2}$, which is given by\n",
    "\n",
    "$\n",
    "\\frac{1}{2}\n",
    "\\begin{pmatrix}\n",
    "1 & 0 & 0 & 1 \\\\\n",
    "0 & 0 & 0 & 0 \\\\\n",
    "0 & 0 & 0 & 0 \\\\\n",
    "1 & 0 & 0 & 1\n",
    "\\end{pmatrix}\n",
    "$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[0.5 0.  0.  0.5]\n",
      " [0.  0.  0.  0. ]\n",
      " [0.  0.  0.  0. ]\n",
      " [0.5 0.  0.  0.5]]\n"
     ]
    }
   ],
   "source": [
    "density_matrix = np.matrix([[0.5, 0, 0, 0.5],[0, 0, 0, 0],[0, 0, 0, 0],[0.5, 0, 0, 0.5]])\n",
    "print(density_matrix)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This density matrix can then be put into wigner_function which plots the Bloch sphere Wigner function for the equal angle slice, i.e. where $\\theta_0 = \\theta_1 = \\theta$ and $\\phi_0 = \\phi_1 = \\phi$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 792x648 with 2 Axes>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_wigner_function(density_matrix, res=200)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If it is desired to calculate the analytic expression for the Wigner function, we can import the sympy package and run the Wigner function calculations symbolically. The below code is almost identical to the code in the Wigner function tomography module but edited to work with symbolics rather than run through the points in the mesh of the sphere."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.5 \\left(- \\frac{\\sqrt{3} \\cos{\\left (2 {\\theta}_{0} \\right )}}{2} + \\frac{1}{2}\\right) \\left(- \\frac{\\sqrt{3} \\cos{\\left (2 {\\theta}_{1} \\right )}}{2} + \\frac{1}{2}\\right) + 0.5 \\left(\\frac{\\sqrt{3} \\cos{\\left (2 {\\theta}_{0} \\right )}}{2} + \\frac{1}{2}\\right) \\left(\\frac{\\sqrt{3} \\cos{\\left (2 {\\theta}_{1} \\right )}}{2} + \\frac{1}{2}\\right) + 0.375 e^{2.0 i {\\phi}_{0}} e^{2.0 i {\\phi}_{1}} \\sin{\\left (2 {\\theta}_{0} \\right )} \\sin{\\left (2 {\\theta}_{1} \\right )} + 0.375 e^{- 2.0 i {\\phi}_{0}} e^{- 2.0 i {\\phi}_{1}} \\sin{\\left (2 {\\theta}_{0} \\right )} \\sin{\\left (2 {\\theta}_{1} \\right )}\n"
     ]
    }
   ],
   "source": [
    "import sympy as sym\n",
    "from sympy.physics.quantum import TensorProduct\n",
    "\n",
    "num = int(np.log2(len(density_matrix)))\n",
    "harr = sym.sqrt(3)\n",
    "Delta_su2 = sym.zeros(2)   \n",
    "Delta = sym.ones(1)\n",
    "for qubit in range(num):\n",
    "    phi = sym.Indexed('phi', qubit)\n",
    "    theta = sym.Indexed('theta', qubit)\n",
    "    costheta  = harr*sym.cos(2*theta)\n",
    "    sintheta  = harr*sym.sin(2*theta)\n",
    "    Delta_su2[0,0] =  (1+costheta)/2\n",
    "    Delta_su2[0,1] = -(sym.exp(2j*phi)*sintheta)/2\n",
    "    Delta_su2[1,0] = -(sym.exp(-2j*phi)*sintheta)/2\n",
    "    Delta_su2[1,1] =  (1-costheta)/2\n",
    "    Delta = TensorProduct(Delta,Delta_su2)\n",
    "W = sym.trace(density_matrix*Delta)\n",
    "print(sym.latex(W))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "pasting this result into a latex environment returns the Wigner function"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$W = 0.5 \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) + 0.5 \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) + 0.375 e^{2.0 i \\phi_{0}} e^{2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{0} \\right )} \\sin{\\left (2 \\theta_{1} \\right )} + 0.375 e^{- 2.0 i \\phi_{0}} e^{- 2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{0} \\right )} \\sin{\\left (2 \\theta_{1} \\right )}$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Wigner function using State tomography\n",
    "\n",
    "We can create the density matrix for a given state by using the state tomography module, more information for the tomography module can be found in the [quantum state tomography tutorial](https://github.com/QISKit/qiskit-tutorial/blob/master/3_qcvv/state_tomography.ipynb). First creating an entangled Bell-state with the following set of gates and then taking the state tomography, we can create the spin Wigner function for the measured tomography"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "number_of_qubits = 2\n",
    "backend = Aer.get_backend('qasm_simulator')\n",
    "shots = 1024\n",
    "bell_qubits = [0, 1]\n",
    "qr = QuantumRegister(2, name='qr')\n",
    "cr = ClassicalRegister(2, name='cr')\n",
    "bell = QuantumCircuit(qr, cr, name='Bell')\n",
    "bell.h(qr[0])\n",
    "bell.cx(qr[0],qr[1]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The above code generates the circuits needed to create the Bell-state and below we show how to then build the density matrix for the state using the tomography module. The density matrix created can then be put into the Wigner fucntion visualisation module "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 792x648 with 2 Axes>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bell_tomo_set = tomo.state_tomography_set([0, 1])\n",
    "bell_tomo_circuits = tomo.create_tomography_circuits(bell, qr, cr, bell_tomo_set)\n",
    "bell_tomo_result = execute(bell_tomo_circuits, backend=backend, shots=shots).result()\n",
    "bell_tomo_data = tomo.tomography_data(bell_tomo_result, 'Bell', bell_tomo_set)\n",
    "rho_fit_sim = tomo.fit_tomography_data(bell_tomo_data)\n",
    "plot_wigner_function(np.matrix(rho_fit_sim), res=200)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Again, using the same code from before, we can calculate the analytic expression for the Wigner function from the generated density matrix, it can be seen that since the density matrix is less sparse, the resulting Wigner function has many more terms"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.499936777529623 \\left(- \\frac{\\sqrt{3} \\cos{\\left (2 {\\theta}_{0} \\right )}}{2} + \\frac{1}{2}\\right) \\left(- \\frac{\\sqrt{3} \\cos{\\left (2 {\\theta}_{1} \\right )}}{2} + \\frac{1}{2}\\right) + 0.00184002904462755 \\left(- \\frac{\\sqrt{3} \\cos{\\left (2 {\\theta}_{0} \\right )}}{2} + \\frac{1}{2}\\right) \\left(\\frac{\\sqrt{3} \\cos{\\left (2 {\\theta}_{1} \\right )}}{2} + \\frac{1}{2}\\right) - \\frac{\\sqrt{3} \\left(0.000646212815416196 - 0.00312198107705811 i\\right) \\left(- \\frac{\\sqrt{3} \\cos{\\left (2 {\\theta}_{0} \\right )}}{2} + \\frac{1}{2}\\right) e^{2.0 i {\\phi}_{1}} \\sin{\\left (2 {\\theta}_{1} \\right )}}{2} - \\frac{\\sqrt{3} \\left(0.000646212815416196 + 0.00312198107705811 i\\right) \\left(- \\frac{\\sqrt{3} \\cos{\\left (2 {\\theta}_{0} \\right )}}{2} + \\frac{1}{2}\\right) e^{- 2.0 i {\\phi}_{1}} \\sin{\\left (2 {\\theta}_{1} \\right )}}{2} + 0.00184601514148403 \\left(\\frac{\\sqrt{3} \\cos{\\left (2 {\\theta}_{0} \\right )}}{2} + \\frac{1}{2}\\right) \\left(- \\frac{\\sqrt{3} \\cos{\\left (2 {\\theta}_{1} \\right )}}{2} + \\frac{1}{2}\\right) + 0.496377178284265 \\left(\\frac{\\sqrt{3} \\cos{\\left (2 {\\theta}_{0} \\right )}}{2} + \\frac{1}{2}\\right) \\left(\\frac{\\sqrt{3} \\cos{\\left (2 {\\theta}_{1} \\right )}}{2} + \\frac{1}{2}\\right) - \\frac{\\sqrt{3} \\left(0.00182791613202358 + 0.00242837881744504 i\\right) \\left(\\frac{\\sqrt{3} \\cos{\\left (2 {\\theta}_{0} \\right )}}{2} + \\frac{1}{2}\\right) e^{2.0 i {\\phi}_{1}} \\sin{\\left (2 {\\theta}_{1} \\right )}}{2} - \\frac{\\sqrt{3} \\left(0.00182791613202358 - 0.00242837881744504 i\\right) \\left(\\frac{\\sqrt{3} \\cos{\\left (2 {\\theta}_{0} \\right )}}{2} + \\frac{1}{2}\\right) e^{- 2.0 i {\\phi}_{1}} \\sin{\\left (2 {\\theta}_{1} \\right )}}{2} - \\frac{\\sqrt{3} \\left(-0.0018595169535378 - 0.00449366757773884 i\\right) \\left(- \\frac{\\sqrt{3} \\cos{\\left (2 {\\theta}_{1} \\right )}}{2} + \\frac{1}{2}\\right) e^{2.0 i {\\phi}_{0}} \\sin{\\left (2 {\\theta}_{0} \\right )}}{2} - \\frac{\\sqrt{3} \\left(-0.0018595169535378 + 0.00449366757773884 i\\right) \\left(- \\frac{\\sqrt{3} \\cos{\\left (2 {\\theta}_{1} \\right )}}{2} + \\frac{1}{2}\\right) e^{- 2.0 i {\\phi}_{0}} \\sin{\\left (2 {\\theta}_{0} \\right )}}{2} - \\frac{\\sqrt{3} \\left(0.00429726480202502 + 0.00515185287893124 i\\right) \\left(\\frac{\\sqrt{3} \\cos{\\left (2 {\\theta}_{1} \\right )}}{2} + \\frac{1}{2}\\right) e^{2.0 i {\\phi}_{0}} \\sin{\\left (2 {\\theta}_{0} \\right )}}{2} - \\frac{\\sqrt{3} \\left(0.00429726480202502 - 0.00515185287893124 i\\right) \\left(\\frac{\\sqrt{3} \\cos{\\left (2 {\\theta}_{1} \\right )}}{2} + \\frac{1}{2}\\right) e^{- 2.0 i {\\phi}_{0}} \\sin{\\left (2 {\\theta}_{0} \\right )}}{2} + \\frac{3 \\left(0.493176776136537 + 0.00470038875792548 i\\right) e^{2.0 i {\\phi}_{0}} e^{2.0 i {\\phi}_{1}} \\sin{\\left (2 {\\theta}_{0} \\right )} \\sin{\\left (2 {\\theta}_{1} \\right )}}{4} + \\frac{3 \\left(0.000998839809504471 + 0.0015077093321832 i\\right) e^{2.0 i {\\phi}_{0}} e^{- 2.0 i {\\phi}_{1}} \\sin{\\left (2 {\\theta}_{0} \\right )} \\sin{\\left (2 {\\theta}_{1} \\right )}}{4} + \\frac{3 \\left(0.000998839809504471 - 0.0015077093321832 i\\right) e^{- 2.0 i {\\phi}_{0}} e^{2.0 i {\\phi}_{1}} \\sin{\\left (2 {\\theta}_{0} \\right )} \\sin{\\left (2 {\\theta}_{1} \\right )}}{4} + \\frac{3 \\left(0.493176776136537 - 0.00470038875792548 i\\right) e^{- 2.0 i {\\phi}_{0}} e^{- 2.0 i {\\phi}_{1}} \\sin{\\left (2 {\\theta}_{0} \\right )} \\sin{\\left (2 {\\theta}_{1} \\right )}}{4}\n"
     ]
    }
   ],
   "source": [
    "Delta_su2 = sym.zeros(2)   \n",
    "Delta = sym.ones(1)\n",
    "for qubit in range(num):\n",
    "    phi = sym.Indexed('phi', qubit)\n",
    "    theta = sym.Indexed('theta', qubit)\n",
    "    costheta  = harr*sym.cos(2*theta)\n",
    "    sintheta  = harr*sym.sin(2*theta)\n",
    "    Delta_su2[0,0] =  (1+costheta)/2\n",
    "    Delta_su2[0,1] = -(sym.exp(2j*phi)*sintheta)/2\n",
    "    Delta_su2[1,0] = -(sym.exp(-2j*phi)*sintheta)/2\n",
    "    Delta_su2[1,1] =  (1-costheta)/2\n",
    "    Delta = TensorProduct(Delta,Delta_su2)\n",
    "W = sym.trace(np.matrix(rho_fit_sim)*Delta)\n",
    "print(sym.latex(W))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$W = 0.493698558640376 \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) + 0.00275286172575906 \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) - \\frac{\\sqrt{3}}{2} \\left(-0.00534735110770023 - 0.00770494561267218 i\\right) \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) e^{2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{1} \\right )} - \\frac{\\sqrt{3}}{2} \\left(-0.00534735110770023 + 0.00770494561267218 i\\right) \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) e^{- 2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{1} \\right )} + 0.00266528247889166 \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) + 0.500883297154973 \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) - \\frac{\\sqrt{3}}{2} \\left(-0.0015149834996068 + 0.000102164609935808 i\\right) \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) e^{2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{1} \\right )} - \\frac{\\sqrt{3}}{2} \\left(-0.0015149834996068 - 0.000102164609935808 i\\right) \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) e^{- 2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{1} \\right )} - \\frac{\\sqrt{3}}{2} \\left(-0.00628509857352323 - 0.000924492486476053 i\\right) \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) e^{2.0 i \\phi_{0}} \\sin{\\left (2 \\theta_{0} \\right )} - \\frac{\\sqrt{3}}{2} \\left(-0.00628509857352323 + 0.000924492486476053 i\\right) \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) e^{- 2.0 i \\phi_{0}} \\sin{\\left (2 \\theta_{0} \\right )} - \\frac{\\sqrt{3}}{2} \\left(-0.000462681165102337 + 0.00867331154973143 i\\right) \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) e^{2.0 i \\phi_{0}} \\sin{\\left (2 \\theta_{0} \\right )} - \\frac{\\sqrt{3}}{2} \\left(-0.000462681165102337 - 0.00867331154973143 i\\right) \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) e^{- 2.0 i \\phi_{0}} \\sin{\\left (2 \\theta_{0} \\right )} + \\frac{3}{4} \\left(0.492697839219187 - 0.0085595434721166 i\\right) e^{2.0 i \\phi_{0}} e^{2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{0} \\right )} \\sin{\\left (2 \\theta_{1} \\right )} + \\frac{3}{4} \\left(0.00247818568149116 + 0.000867188901661959 i\\right) e^{2.0 i \\phi_{0}} e^{- 2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{0} \\right )} \\sin{\\left (2 \\theta_{1} \\right )} + \\frac{3}{4} \\left(0.00247818568149116 - 0.000867188901661959 i\\right) e^{- 2.0 i \\phi_{0}} e^{2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{0} \\right )} \\sin{\\left (2 \\theta_{1} \\right )} + \\frac{3}{4} \\left(0.492697839219187 + 0.0085595434721166 i\\right) e^{- 2.0 i \\phi_{0}} e^{- 2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{0} \\right )} \\sin{\\left (2 \\theta_{1} \\right )}$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Experiment"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 792x648 with 2 Axes>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "IBMQ.load_accounts()\n",
    "\n",
    "backend = IBMQ.get_backend('ibmqx2')\n",
    "max_credits = 8\n",
    "shots = 1024\n",
    "bell_qubits = [0, 1]\n",
    "bell_tomo_set = tomo.state_tomography_set(bell_qubits)\n",
    "bell_tomo_circuits = tomo.create_tomography_circuits(bell, qr, cr, bell_tomo_set)\n",
    "bell_tomo_result = execute(bell_tomo_circuits, backend=backend, shots=shots, \n",
    "                           max_credits=max_credits).result()\n",
    "bell_tomo_data = tomo.tomography_data(bell_tomo_result, 'Bell', bell_tomo_set)\n",
    "rho_fit_ibmqx = tomo.fit_tomography_data(bell_tomo_data)\n",
    "plot_wigner_function(np.matrix(rho_fit_ibmqx), res=100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[0.48153775+0.j         0.04986367-0.02071181j 0.05420926-0.01399036j\n",
      "  0.42550767+0.00541452j]\n",
      " [0.04986367+0.02071181j 0.02967715+0.j         0.01582514-0.00135436j\n",
      "  0.05000208+0.00902968j]\n",
      " [0.05420926+0.01399036j 0.01582514+0.00135436j 0.04391773+0.j\n",
      "  0.05013479-0.00670961j]\n",
      " [0.42550767-0.00541452j 0.05000208-0.00902968j 0.05013479+0.00670961j\n",
      "  0.44486737+0.j        ]]\n"
     ]
    }
   ],
   "source": [
    "print(rho_fit_ibmqx)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.444867367250469 \\left(- \\frac{\\sqrt{3} \\cos{\\left (2 {\\theta}_{0} \\right )}}{2} + \\frac{1}{2}\\right) \\left(- \\frac{\\sqrt{3} \\cos{\\left (2 {\\theta}_{1} \\right )}}{2} + \\frac{1}{2}\\right) + 0.043917727243482 \\left(- \\frac{\\sqrt{3} \\cos{\\left (2 {\\theta}_{0} \\right )}}{2} + \\frac{1}{2}\\right) \\left(\\frac{\\sqrt{3} \\cos{\\left (2 {\\theta}_{1} \\right )}}{2} + \\frac{1}{2}\\right) - \\frac{\\sqrt{3} \\left(0.0501347850838195 + 0.00670960560900125 i\\right) \\left(- \\frac{\\sqrt{3} \\cos{\\left (2 {\\theta}_{0} \\right )}}{2} + \\frac{1}{2}\\right) e^{2.0 i {\\phi}_{1}} \\sin{\\left (2 {\\theta}_{1} \\right )}}{2} - \\frac{\\sqrt{3} \\left(0.0501347850838195 - 0.00670960560900125 i\\right) \\left(- \\frac{\\sqrt{3} \\cos{\\left (2 {\\theta}_{0} \\right )}}{2} + \\frac{1}{2}\\right) e^{- 2.0 i {\\phi}_{1}} \\sin{\\left (2 {\\theta}_{1} \\right )}}{2} + 0.0296771540842934 \\left(\\frac{\\sqrt{3} \\cos{\\left (2 {\\theta}_{0} \\right )}}{2} + \\frac{1}{2}\\right) \\left(- \\frac{\\sqrt{3} \\cos{\\left (2 {\\theta}_{1} \\right )}}{2} + \\frac{1}{2}\\right) + 0.481537751421756 \\left(\\frac{\\sqrt{3} \\cos{\\left (2 {\\theta}_{0} \\right )}}{2} + \\frac{1}{2}\\right) \\left(\\frac{\\sqrt{3} \\cos{\\left (2 {\\theta}_{1} \\right )}}{2} + \\frac{1}{2}\\right) - \\frac{\\sqrt{3} \\left(0.0498636678793869 + 0.0207118088508713 i\\right) \\left(\\frac{\\sqrt{3} \\cos{\\left (2 {\\theta}_{0} \\right )}}{2} + \\frac{1}{2}\\right) e^{2.0 i {\\phi}_{1}} \\sin{\\left (2 {\\theta}_{1} \\right )}}{2} - \\frac{\\sqrt{3} \\left(0.0498636678793869 - 0.0207118088508713 i\\right) \\left(\\frac{\\sqrt{3} \\cos{\\left (2 {\\theta}_{0} \\right )}}{2} + \\frac{1}{2}\\right) e^{- 2.0 i {\\phi}_{1}} \\sin{\\left (2 {\\theta}_{1} \\right )}}{2} - \\frac{\\sqrt{3} \\left(0.0500020838134834 - 0.00902968211006529 i\\right) \\left(- \\frac{\\sqrt{3} \\cos{\\left (2 {\\theta}_{1} \\right )}}{2} + \\frac{1}{2}\\right) e^{2.0 i {\\phi}_{0}} \\sin{\\left (2 {\\theta}_{0} \\right )}}{2} - \\frac{\\sqrt{3} \\left(0.0500020838134834 + 0.00902968211006529 i\\right) \\left(- \\frac{\\sqrt{3} \\cos{\\left (2 {\\theta}_{1} \\right )}}{2} + \\frac{1}{2}\\right) e^{- 2.0 i {\\phi}_{0}} \\sin{\\left (2 {\\theta}_{0} \\right )}}{2} - \\frac{\\sqrt{3} \\left(0.0542092572641403 + 0.0139903637993998 i\\right) \\left(\\frac{\\sqrt{3} \\cos{\\left (2 {\\theta}_{1} \\right )}}{2} + \\frac{1}{2}\\right) e^{2.0 i {\\phi}_{0}} \\sin{\\left (2 {\\theta}_{0} \\right )}}{2} - \\frac{\\sqrt{3} \\left(0.0542092572641403 - 0.0139903637993998 i\\right) \\left(\\frac{\\sqrt{3} \\cos{\\left (2 {\\theta}_{1} \\right )}}{2} + \\frac{1}{2}\\right) e^{- 2.0 i {\\phi}_{0}} \\sin{\\left (2 {\\theta}_{0} \\right )}}{2} + \\frac{3 \\left(0.425507670232922 - 0.00541452224395614 i\\right) e^{2.0 i {\\phi}_{0}} e^{2.0 i {\\phi}_{1}} \\sin{\\left (2 {\\theta}_{0} \\right )} \\sin{\\left (2 {\\theta}_{1} \\right )}}{4} + \\frac{3 \\left(0.015825135999363 + 0.00135435891394559 i\\right) e^{2.0 i {\\phi}_{0}} e^{- 2.0 i {\\phi}_{1}} \\sin{\\left (2 {\\theta}_{0} \\right )} \\sin{\\left (2 {\\theta}_{1} \\right )}}{4} + \\frac{3 \\left(0.015825135999363 - 0.00135435891394559 i\\right) e^{- 2.0 i {\\phi}_{0}} e^{2.0 i {\\phi}_{1}} \\sin{\\left (2 {\\theta}_{0} \\right )} \\sin{\\left (2 {\\theta}_{1} \\right )}}{4} + \\frac{3 \\left(0.425507670232922 + 0.00541452224395614 i\\right) e^{- 2.0 i {\\phi}_{0}} e^{- 2.0 i {\\phi}_{1}} \\sin{\\left (2 {\\theta}_{0} \\right )} \\sin{\\left (2 {\\theta}_{1} \\right )}}{4}\n"
     ]
    }
   ],
   "source": [
    "Delta_su2 = sym.zeros(2)   \n",
    "Delta = sym.ones(1)\n",
    "for qubit in range(num):\n",
    "    phi = sym.Indexed('phi', qubit)\n",
    "    theta = sym.Indexed('theta', qubit)\n",
    "    costheta  = harr*sym.cos(2*theta)\n",
    "    sintheta  = harr*sym.sin(2*theta)\n",
    "    Delta_su2[0,0] =  (1+costheta)/2\n",
    "    Delta_su2[0,1] = -(sym.exp(2j*phi)*sintheta)/2\n",
    "    Delta_su2[1,0] = -(sym.exp(-2j*phi)*sintheta)/2\n",
    "    Delta_su2[1,1] =  (1-costheta)/2\n",
    "    Delta = TensorProduct(Delta,Delta_su2)\n",
    "W = sym.trace(np.matrix(rho_fit_ibmqx)*Delta)\n",
    "print(sym.latex(W))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$0.32699519833677 \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) + 0.124306773174647 \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) - \\frac{\\sqrt{3}}{2} \\left(0.0285310304913017 + 0.0238741788035984 i\\right) \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) e^{2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{1} \\right )} - \\frac{\\sqrt{3}}{2} \\left(0.0285310304913017 - 0.0238741788035984 i\\right) \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) e^{- 2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{1} \\right )} + 0.124202902962916 \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) + 0.424495125525667 \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) - \\frac{\\sqrt{3}}{2} \\left(0.0490359773360699 + 0.0381005337507329 i\\right) \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) e^{2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{1} \\right )} - \\frac{\\sqrt{3}}{2} \\left(0.0490359773360699 - 0.0381005337507329 i\\right) \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) e^{- 2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{1} \\right )} - \\frac{\\sqrt{3}}{2} \\left(0.0512856636758563 + 0.0414367583959388 i\\right) \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) e^{2.0 i \\phi_{0}} \\sin{\\left (2 \\theta_{0} \\right )} - \\frac{\\sqrt{3}}{2} \\left(0.0512856636758563 - 0.0414367583959388 i\\right) \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) e^{- 2.0 i \\phi_{0}} \\sin{\\left (2 \\theta_{0} \\right )} - \\frac{\\sqrt{3}}{2} \\left(0.0408691303527403 + 0.0280408874045363 i\\right) \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) e^{2.0 i \\phi_{0}} \\sin{\\left (2 \\theta_{0} \\right )} - \\frac{\\sqrt{3}}{2} \\left(0.0408691303527403 - 0.0280408874045363 i\\right) \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) e^{- 2.0 i \\phi_{0}} \\sin{\\left (2 \\theta_{0} \\right )} + \\frac{3}{4} \\left(0.285095302985003 - 0.00922257353994807 i\\right) e^{2.0 i \\phi_{0}} e^{2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{0} \\right )} \\sin{\\left (2 \\theta_{1} \\right )} + \\frac{3}{4} \\left(-0.035281529513114 - 0.00875077955598942 i\\right) e^{2.0 i \\phi_{0}} e^{- 2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{0} \\right )} \\sin{\\left (2 \\theta_{1} \\right )} + \\frac{3}{4} \\left(-0.035281529513114 + 0.00875077955598942 i\\right) e^{- 2.0 i \\phi_{0}} e^{2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{0} \\right )} \\sin{\\left (2 \\theta_{1} \\right )} + \\frac{3}{4} \\left(0.285095302985003 + 0.00922257353994807 i\\right) e^{- 2.0 i \\phi_{0}} e^{- 2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{0} \\right )} \\sin{\\left (2 \\theta_{1} \\right )}$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Measuring Points in Phase Space\n",
    "\n",
    "We will now look at how to create the circuits to measure set points in phase space. The following results are based on the figures in [*RP Rundle, PW Mills, T Tilma, JH Samson, MJ Everitt, Phys. Rev. A 96, 022117*](r p rundle prl)\n",
    "\n",
    "## Plaquette Visualisation\n",
    "Staying with the bell state, we will look here at the slice where $\\phi_0=\\phi_1=0$ and we plot $\\theta_0$ against $\\theta_1$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COMPLETED\n"
     ]
    }
   ],
   "source": [
    "theta1_points = 8\n",
    "theta2_points = 8\n",
    "number_of_points = theta1_points*theta2_points\n",
    "the1 = [0]*number_of_points\n",
    "the2 = [0]*number_of_points #initialize theta values\n",
    "phis = [[0]*number_of_points]*number_of_qubits #set phi values to 0\n",
    "\n",
    "point = 0\n",
    "for i in range(theta1_points):\n",
    "    for k in range(theta2_points):\n",
    "        \n",
    "        the1[point] = 2*i*np.pi/theta1_points\n",
    "        the2[point] = 2*k*np.pi/theta2_points #create the values of theta for all points on plot\n",
    "        point += 1\n",
    "        \n",
    "thetas = np.vstack((the1,the2))\n",
    "bell_circuits = tomo.build_wigner_circuits(bell, phis, thetas, \n",
    "                                           bell_qubits, qr, cr)\n",
    "\n",
    "backend = Aer.get_backend('qasm_simulator')\n",
    "shots = 1024\n",
    "bell_result = execute(bell_circuits, backend=backend, shots=shots).result()\n",
    "print(bell_result.status)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "wdata = tomo.wigner_data(bell_result, bell_qubits,\n",
    "                        bell_circuits, shots=shots)\n",
    "wdata = np.matrix(wdata)\n",
    "wdata = wdata.reshape(theta1_points,theta2_points) \n",
    "plot_wigner_data(wdata, method='plaquette')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Curve on a Wigner fucntion\n",
    "We can also take a line around phase space and plot a curve. A useful line to take is the equator of the equal angle slice, below we plot this slice also for the Bell-state. When we have an $n$-qubit maximally entangled state of the form $\\left(|0...0\\rangle + |1...1\\rangle\\right)/\\sqrt{2}$, the equatorial slice will show sinusoidal behaviour with frequency $n$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "equator_points = 64\n",
    "theta = [np.pi/2]*equator_points\n",
    "phi = [0]*equator_points\n",
    "\n",
    "point = 0\n",
    "for i in range(equator_points):\n",
    "    phi[i] = 2*i*np.pi/equator_points\n",
    "        \n",
    "thetas = np.vstack((theta,theta))\n",
    "phis = np.vstack((phi,phi))\n",
    "bell_eq_circuits = tomo.build_wigner_circuits(bell, phis, thetas, \n",
    "                                              bell_qubits, qr, cr)\n",
    "bell_eq_result = execute(bell_eq_circuits, backend=backend, shots=shots).result()\n",
    "wdata_eq = tomo.wigner_data(bell_eq_result,  bell_qubits,\n",
    "                        bell_eq_circuits, shots=shots)\n",
    "plot_wigner_data(wdata_eq, method='curve')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "Recreating the equatorial slice of a five qubit GHZ state, $\\left(|00000\\rangle - |11111\\rangle\\right)/\\sqrt{2}$ from the paper, the following gates are needed..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "number_of_qubits = 5\n",
    "backend = Aer.get_backend('qasm_simulator')\n",
    "shots = 1024\n",
    "ghz_qubits = [0, 1, 2, 3, 4]\n",
    "qr = QuantumRegister(5, name='qr')\n",
    "cr = ClassicalRegister(5, name='cr')\n",
    "ghz = QuantumCircuit(qr, cr, name='ghz')\n",
    "ghz.h(qr[0])\n",
    "ghz.h(qr[1])\n",
    "ghz.x(qr[2])\n",
    "ghz.h(qr[3])\n",
    "ghz.h(qr[4])\n",
    "ghz.cx(qr[0],qr[2])\n",
    "ghz.cx(qr[1],qr[2])\n",
    "ghz.cx(qr[3],qr[2])\n",
    "ghz.cx(qr[4],qr[2])\n",
    "ghz.h(qr[0])\n",
    "ghz.h(qr[1])\n",
    "ghz.h(qr[2])\n",
    "ghz.h(qr[3])\n",
    "ghz.h(qr[4])\n",
    "\n",
    "equator_points = 64\n",
    "thetas = [[np.pi/2]*equator_points]*number_of_qubits\n",
    "phi = [0]*equator_points\n",
    "\n",
    "point = 0\n",
    "for i in range(equator_points):\n",
    "    phi[i] = 2*i*np.pi/equator_points\n",
    "phis = np.vstack((phi,phi,phi,phi,phi))\n",
    "ghz_eq_circuits = tomo.build_wigner_circuits(ghz, phis, thetas, \n",
    "                                             ghz_qubits, qr, cr)\n",
    "ghz_eq_result = execute(ghz_eq_circuits, backend=backend, shots=shots).result()\n",
    "wghzdata_eq = tomo.wigner_data(ghz_eq_result, ghz_qubits,\n",
    "                               ghz_eq_circuits, shots=shots)\n",
    "plot_wigner_data(wghzdata_eq, method='curve')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Since all the data for the plot is stored within `wghzdata_eq`, we can import matplotlib and go wild with different ways of plotting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "plt.plot(phi, wghzdata_eq, 'o')\n",
    "plt.axis([0, 2*np.pi, -0.6, 0.6])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 792x648 with 2 Axes>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "density_matrix = np.zeros((32,32))\n",
    "density_matrix[0][0] = 0.5\n",
    "density_matrix[0][31] = -0.5\n",
    "density_matrix[31][0] = -0.5\n",
    "density_matrix[31][31] = 0.5\n",
    "plot_wigner_function(density_matrix, res=200)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
